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Finding the Third Proportional to 74,940 and 163,610

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Solution

The third proportional to 74,940 and 163,610 is: 357,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,940 : 163,610 = 163,610 : x
  2. Step 2: Convert to fraction form
    74,940/163,610 = 163,610/x
  3. Step 3: Cross multiply
    74,940x = 163,610 × 163,610
  4. Step 4: Simplify right side
    74,940x = 26,768,232,100
  5. Step 5: Solve for x
    x = 26,768,232,100/74,940
  6. Step 6: Final answer
    x = 357,195.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.